Question

Solve the following system of equations involving a circle and a line.
x^2+y^2=25

y=x+1

Answer 1

just substitute:
x^2 + (x+1)^2 = 25
x^2 + x^2 + 2x + 1 = 25
2x^2 + 2x - 24 = 0
x^2 + x - 12 = 0
(x+4)(x-3) = 0
x=-4, x=3
(-4, -3) and (3, 4) are your solutions